38003400216 has 96 divisors (see below), whose sum is σ = 106307435520. Its totient is φ = 12252081600.

The previous prime is 38003400199. The next prime is 38003400229. The reversal of 38003400216 is 61200430083.

It is a happy number.

38003400216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38003400216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5002581 + ... + 5010171.

It is an arithmetic number, because the mean of its divisors is an integer number (1107369120).

Almost surely, 2^38003400216 is an apocalyptic number.

38003400216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38003400216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53153717760).

38003400216 is an abundant number, since it is smaller than the sum of its proper divisors (68304035304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38003400216 is a wasteful number, since it uses less digits than its factorization.

38003400216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 38003400216 its reverse (61200430083), we get a palindrome (99203830299).

The spelling of 38003400216 in words is "thirty-eight billion, three million, four hundred thousand, two hundred sixteen".